Comment by mitthrowaway2

> I wouldn't say that there is any direct connection per se between thermodynamics and any field where statistics or information theory are applicable.

Thermodynamics can absolutely be studied through both a statistical mechanics and an information theory lens, and many physicists have found this to be quite productive and enlightening. Especially when it gets to tricky cases involving entropy, like Maxwell's Demon and Landauer's Eraser, one struggles not to do so.